高频数据连续部分杠杆效应的估计
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引用本文:肖鸿民 ,康宏亮.高频数据连续部分杠杆效应的估计[J].经济数学,2020,(3):67-73
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作者单位
肖鸿民 ,康宏亮 (西北师范大学 数学与统计学院甘肃 兰州 730070) 
中文摘要:对股票价格与其波动率之间的负相关性的发现,引发了对高频金融数据杠杆效应的研究热潮.对于高频数据连续时间条件下满足伊藤半鞅模型的对数价格过程和波动率过程,定义了连续部分杠杆效应(CLE),并用临近窗口和向下截断方法,采用二次变差来构造相应的估计量,进一步研究了该估计量的相合性和渐近正态性,最后给出了定理证明.
中文关键词:高频数据  杠杆效应  向下截断方法  二次变差
 
Estimation of Continuous Partial Leverage Effect on High Frequency Data
Abstract:The discovery of the negative correlation between stock price and its volatility has triggered an upsurge of research on leverage effect of high-frequency financial data. For the logarithmic price process and volatility process satisfying ITO semi martingale model under the continuous time condition of high frequency data, the continuous partial leverage effect (CLE) is defined, and the method of near window and downward truncation is used, The quadratic variation is used to construct the corresponding estimator. The consistency and asymptotic normality of the estimator are further studied. Finally, the theorem is proved.
keywords:high-frequency data  leverage effect  downward truncation method  quadratic variation
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